Real algebraic geometry

Nash functions

In real algebraic geometry, a Nash function on an open semialgebraic subset U ⊂ Rn is an analytic function f: U → R satisfying a nontrivial polynomial equation P(x,f(x)) = 0 for all x in U (A semialgebraic subset of Rn is a subset obtained from subsets of the form {x in Rn : P(x)=0} or {x in Rn : P(x) > 0}, where P is a polynomial, by taking finite unions, finite intersections and complements). Some examples of Nash functions: * Polynomial and regular rational functions are Nash functions. * is Nash on R. * the function which associates to a real symmetric matrix its i-th eigenvalue (in increasing order) is Nash on the open subset of symmetric matrices with no multiple eigenvalue. Nash functions are those functions needed in order to have an implicit function theorem in real algebraic geometry. (Wikipedia).

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Nash Equilibriums // How to use Game Theory to render your opponents indifferent

Check out Brilliant ► https://brilliant.org/TreforBazett/ Join for free and the first 200 subscribers get 20% off an annual premium subscription. Thank you to Brilliant for sponsoring this playlist on Game Theory. Game Theory Playlist ► https://www.youtube.com/playlist?list=PLHXZ9OQGMqx

From playlist Game Theory

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What are bounded functions and how do you determine the boundness

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

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When is a function bounded below?

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

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Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

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Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

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Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

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Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

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Functions of equations - IS IT A FUNCTION

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Mod-02 Lec-09 Best Response Functions

Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics

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Mod-03 Lec-17 Different Aspects of Bertrand Model

Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics

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Mod-04 Lec-29 Mixed Strategy Equilibrium: Concept and Examples

Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics

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Mod-02 Lec-10 Strictly and Weekly Dominated Action

Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics

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Mod-04 Lec-32 Rationalisability and Beliefs

Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics

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Abel in Paris - Éva Tardos (Cornell University): "Quality of equilibria and effect of learning...

Abel in Paris - Éva Tardos (Cornell University): "Quality of equilibria and effect of learning in games" Éva Tardos est professeure en informatique à l’université de Cornell (Ithaca, New York). Sa recherche porte sur des algorithmes appliqués aux jeux en réseaux et aux ventes aux

From playlist Abel in PARIS - IHP - 2015

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Nevanlinna Prize Lecture: Equilibria and fixed points — Constantinos Daskalakis — ICM2018

Equilibria, fixed points, and computational complexity Constantinos Daskalakis Abstract: The concept of equilibrium, in its various forms, has played a central role in the development of Game Theory and Economics. The mathematical properties and computational complexity of equilibria are

From playlist Special / Prizes Lectures

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The deterministic communication complexity of approximate fixed point - Weinstein

Computer Science/Discrete Mathematics Seminar Topic: The deterministic communication complexity of approximate fixed point Speaker: Omri Weinstein Date: Monday, February 22 We study the two-party communication complexity of the geometric problem of finding an approximate Brouwer fixed-po

From playlist Mathematics

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Mod-02 Lec-12 Symmetric Games and Symmetric Equilibrium

Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics

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Mod-03 Lec-21 War of Attrition

Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics

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Describing Functions (Discrete Math)

This video covered the various ways to describe functions in a discrete math class.

From playlist Functions (Discrete Math)

Related pages

Real closed field | Semialgebraic set | Cartan's theorems A and B | Analytic function | Coherent sheaf | Stein manifold | Real algebraic geometry | Regular local ring | Hensel's lemma | Noetherian ring | Implicit function | Germ (mathematics) | Differentiable manifold